Prime p₀= 3023465838114267389 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 62
Found by: Ben
db: batch=82, k=10, 2 16 2 10 2

STPT(10)	3023465040169903727	0 2 30 32 72 74 114 116 144 146	-797944363662
STPT(10)	3023465172416401379	0 2 42 44 60 62 78 80 120 122	-665697866010
STPT(10)	3023465362328640371	0 2 6 8 18 20 30 32 36 38	-475785627018
SPT(16)	3023465531217669457	0 10 66 82 132 154 160 166 210 216 222 244 294 310 366 376	-306896597932
SPT(16)	3023465553443717093	0 18 24 54 56 104 126 140 144 158 180 228 230 260 266 284	-284670550296
STPT(10)	3023465627013914177	0 2 30 32 42 44 54 56 84 86	-211100353212
SPT(16)	3023466690275863543	0 10 90 130 144 150 166 210 214 258 274 280 294 334 414 424	852161596154
SPT(16)	3023467046235122153	0 14 66 78 86 108 116 134 150 168 176 198 206 218 270 284	1208120854764
SPT(16)	3023467062234495337	0 6 24 40 84 96 126 154 156 184 214 226 270 286 304 310	1224120227948
SPT(16)	3023467260071432227	0 16 30 60 70 132 172 186 196 210 250 312 322 352 366 382	1421957164838
STPT(10)	3023467806036364019	0 2 12 14 90 92 168 170 180 182	1967922096630